GCF of 3141/961, 5469/327
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3141/961, 5469/327 i.e 3/314247 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3141/961, 5469/327.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 3141/961,5469/327?
Given fractions are 3141/961,5469/327
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 3141/961,5469/327, numerators are 3141,5469
Denominators are 961,327
The GCF of 3141,5469 is 3 .
LCM of 961,327 is 314247.
The greatest common factor of 3141/961,5469/327 = [GCF of 3141,5469]/[LCM of 961,327]= 3/314247
Therefore, the GCF of 3141/961,5469/327 is 3/314247.
To find the highest common factor of 3141,5469, we have to find the factors of both numbers and list the highest common factor.
The factors of 3141 are 1, 3, 9, 349, 1047, 3141
The factors of 5469 are 1, 3, 1823, 5469
The HCF of 3141,5469 is 3.
Lets's calculate GCF of 3141,5469
| 3 | 3141, 5469 |
| 1047, 1823 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3141,5469 By Matching Biggest Common Factor Method
Now, list down the factors of 3141
:1,3,9,349,1047,3141
Now, list down the factors of 5469
:1,3,1823,5469
Greatest Common Factor
We found the factors 3141,5469 . The biggest common factor number is the GCF number.
So the greatest common factor 3141,5469 is 3.
Lets's calculate LCM of 961,327
Given numbers has no common factors except 1. So, there LCM is their product i.e 314247
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/314247
Therefore, the GCF of Fractions 3141/961,5469/327 is 3/314247
Least Common Multiple of 961,327 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 961,327 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(961,327) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(961,327) x common factors =1 x 1 = 1
LCM(961,327) = ( 961 × 327 ) / 1
LCM(961,327) = 314247 / 1
LCM(961,327) = 314247
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FAQs on GCF of Fractions of 3141/961, 5469/327
1. What is the HCF of 3141,5469?
The HCF of 3141,5469 is 3
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 3141/961, 5469/327?
Answer: GCF of Numerators as per given numbers 3141/961, 5469/327 is
GCF of Numerators i.e. for 3141,5469 is 3
LCM of denominators i.e. for 961,327 is 314247.
Thus, GCF of Fractions is 3/314247.Finally, GCF of Fractions for 3141/961, 5469/327 is 3/314247.